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umka2103 [35]
3 years ago
10

Tell whether the statement shown below is true or false. If false, give the reason. {51, 52, 51, 52} = {51, 52} O A. False; the

elements are not equal. OB. False; the elements cannot be repeated. O C. True OD. False; there must be the same number of elements.
Mathematics
1 answer:
IceJOKER [234]3 years ago
4 0

Answer:

Option C. True

Step-by-step explanation:

The given sets are {51, 52, 51, 52} and {51, 52}

By the definition of equal sets says if two sets have the same elements, sets are called to be equal.

Cardinality of both the sets never affect the equality of the sets.

In the given sets number of elements are different but the elements are same.

Therefore, by the definition of the eqaulity both the sets are equal.

Option C. is the answer.

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Question:
12345 [234]

Answer:

A. Area in square inches =  1760 square inches

B. Area in square feet = 12.2 square feet

C. 1 square inch = \frac{1}{144} feet

Step-by-step explanation:

Given,

Length of the rectangle (l) = 55 inches

Breath of the rectangle (b) = 32 inches

A. Area of the rectangle = length × breath

⇒ 55 × 32

⇒ 1760 square inches

Area in square inches =  1760 square inches

B. 1 foot = 12 inches

1 inch = \frac{1}{12} feet

1 square inch = \frac{1}{144} feet

∴ 1760 square inches = \frac{1760}{144} feet

⇒ 12.2222 square feet

Area in square feet = 12.2 square feet

C. 1 square inch = \frac{1}{144} feet

8 0
3 years ago
Find the length of the hypotenuse of a triangle if one of its legs is 11 cm long and its perimeter is 132 cm.
rodikova [14]

Answer:

1.)

132 cm - 11 cm = 121 cm

So let the hypotenuse be x and the other leg be (121 - x).

11^2 + (121 - x)^2 = x^2

121 + 121^2 - 121(2)x = 0

x = 1/2 + 121/2 = 61 cm

Step-by-step explanation: not sure if this is right or not

7 0
3 years ago
Suppose that 37% of college students own cats. If you were to ask random college students if they own a cat what would the proba
Likurg_2 [28]

Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

b) 0.5065 = 50.65%.

c) 0.3260 = 32.60%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37

Item b:

The probability is P(X = 3) when n = 3, hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065

Item c:

The probability is P(X = 2) when n = 4, hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
Suhas puts 12 crayons in a box. Two of the crayons are orange. Suhas selects one crayon from the box without
il63 [147K]

Answer:

The probability that it isn't orange is 5/6

Step-by-step explanation:

There are twelve crayons and two are orange so there is ten that aren't orange. Probability being 10/12. We can now simplify to 5/6. There you go easy as.

Many regards, Abdelmumen Nakoa.

6 0
3 years ago
Plss help (IF ITS BOTH OR NEITHER PLS TELL ME) Zoom in to see full pic!!
MrRa [10]
It would be B, the second triangle.
Hope this helps.
3 0
3 years ago
Read 2 more answers
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